Solve the equation: (7x+2)/4 + 1 = 5x/3

\(\frac{7x+2}{4} + 1 = \frac{5x}{3}\) 1. Multiply through by the least common denominator (LCD), which is 12, to eliminate fractions: \[12 \cdot \frac{7x+2}{4} + 12 \cdot 1 = 12 \cdot \frac{5x}{3}\] \[3(7x+2) + 12 = 4(5x)\] 2. Expand and simplify: \[21x + 6 + 12 = 20x\] \[21x - 20x = -6 - 12\] \[x = -18\] Final Answer: \(x = -18\).